#### Solution for 100 is what percent of 410:

100:410*100 =

(100*100):410 =

10000:410 = 24.39

Now we have: 100 is what percent of 410 = 24.39

Question: 100 is what percent of 410?

Percentage solution with steps:

Step 1: We make the assumption that 410 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={410}.

Step 4: In the same vein, {x\%}={100}.

Step 5: This gives us a pair of simple equations:

{100\%}={410}(1).

{x\%}={100}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{410}{100}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{100}{410}

\Rightarrow{x} = {24.39\%}

Therefore, {100} is {24.39\%} of {410}.

#### Solution for 410 is what percent of 100:

410:100*100 =

(410*100):100 =

41000:100 = 410

Now we have: 410 is what percent of 100 = 410

Question: 410 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={100}.

Step 4: In the same vein, {x\%}={410}.

Step 5: This gives us a pair of simple equations:

{100\%}={100}(1).

{x\%}={410}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{100}{410}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{410}{100}

\Rightarrow{x} = {410\%}

Therefore, {410} is {410\%} of {100}.

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